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Simplifying (x + y + -1) * dx + (x + ex) * dy = 0 Reorder the terms: (-1 + x + y) * dx + (x + ex) * dy = 0 Reorder the terms for easier multiplication: dx(-1 + x + y) + (x + ex) * dy = 0 (-1 * dx + x * dx + y * dx) + (x + ex) * dy = 0 Reorder the terms: (-1dx + dxy + dx2) + (x + ex) * dy = 0 (-1dx + dxy + dx2) + (x + ex) * dy = 0 Reorder the terms: -1dx + dxy + dx2 + (ex + x) * dy = 0 Reorder the terms for easier multiplication: -1dx + dxy + dx2 + dy(ex + x) = 0 -1dx + dxy + dx2 + (ex * dy + x * dy) = 0 -1dx + dxy + dx2 + (dexy + dxy) = 0 Reorder the terms: dexy + -1dx + dxy + dxy + dx2 = 0 Combine like terms: dxy + dxy = 2dxy dexy + -1dx + 2dxy + dx2 = 0 Solving dexy + -1dx + 2dxy + dx2 = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'dx'. dx(ey + -1 + 2y + x) = 0Subproblem 1
Set the factor 'dx' equal to zero and attempt to solve: Simplifying dx = 0 Solving dx = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dx = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(ey + -1 + 2y + x)' equal to zero and attempt to solve: Simplifying ey + -1 + 2y + x = 0 Reorder the terms: -1 + ey + x + 2y = 0 Solving -1 + ey + x + 2y = 0 Move all terms containing d to the left, all other terms to the right. Add '1' to each side of the equation. -1 + ey + x + 1 + 2y = 0 + 1 Reorder the terms: -1 + 1 + ey + x + 2y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + ey + x + 2y = 0 + 1 ey + x + 2y = 0 + 1 Combine like terms: 0 + 1 = 1 ey + x + 2y = 1 Add '-1ey' to each side of the equation. ey + x + -1ey + 2y = 1 + -1ey Reorder the terms: ey + -1ey + x + 2y = 1 + -1ey Combine like terms: ey + -1ey = 0 0 + x + 2y = 1 + -1ey x + 2y = 1 + -1ey Add '-1x' to each side of the equation. x + -1x + 2y = 1 + -1ey + -1x Combine like terms: x + -1x = 0 0 + 2y = 1 + -1ey + -1x 2y = 1 + -1ey + -1x Add '-2y' to each side of the equation. 2y + -2y = 1 + -1ey + -1x + -2y Combine like terms: 2y + -2y = 0 0 = 1 + -1ey + -1x + -2y Simplifying 0 = 1 + -1ey + -1x + -2y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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